Answer keys. EAS 1600 Lab 1 (Clicker) Math and Science Tune-up. Note: Students can receive partial credit for the graphs/dimensional analysis.

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1 Anwer key EAS 1600 Lab 1 (Clicker) Math and Science Tune-up Note: Student can receive partial credit for the graph/dienional analyi. For quetion 1-7, atch the correct forula (fro the lit A-I below) to the phyical entity, and enter the correponding letter to CLICKER. To enter the letter, pre any letter key (A-D, T, F) and then ue croll up/down key ( and ) to get to the letter correponding to your anwer. (1 pt. each) Quetion 1. Area (phere) = 4π R D Quetion. Area (circle) = π R C 4 Quetion. Volue (phere) = π R G Quetion 4. Velocity = t d I Quetion 5. Weight = g B v Quetion 6. Kinetic Energy = F Quetion 7. Denity = V E For quetion 8-14, chooe the correct MKS unit ( that i eter, kilogra kg and econd ) for the phyical entity, and enter the correponding letter to CLICKER. To enter the letter, pre any letter key and then ue croll up/down ( and ) to get to the needed letter. (1 pt. each) Quetion 8. Area (circle) i eaured in B Quetion 9. Area (phere) i eaured in B

2 Quetion 10. Velocity i eaured in E Quetion 11. Volue (phere) i eaured in C kg Quetion 1. Weight i eaured in F kg Quetion 1. Denity i eaured in G kg Quetion 14. Kinetic Energy i eaured in I For quetion 15-0, enter the correct ultiplier to CLICKER. Exaple: for G (Giga-) the ultiplier i For nuber aller than 1, enter 0 before decial point, e.g (1 pt. each) Quetion 15. Multiplier for k (kilo-) i 1000 Quetion 16. Multiplier for M (ega-) i Quetion 17. Multiplier for h (hecto-) i 100 Quetion 18. Multiplier for c (centi-) i 0.01 Quetion 19. Multiplier for (illi-) i Quetion 0. Aue oe variable i eaured in unit G. Then µg (icro-g) i 1000 tie aller than G (illi-g). Enter the nuber into your Clicker. For quetion 1-, enter the anwer in the requeted unit into CLICKER. (1 pt. each) Quetion 1..8 g/c = 800 kg/ Quetion. 6. k/h = 1.75 / Quetion k = 000

3 Section. Denity. Quetion 4. A golden-colored cube i handed to you. The peron want you to buy it for $00, aying that i a gold nugget. You iediately pulled out your cell phone, go online and find that gold denity i 19. g/c. You eaure the cube and find that it i c on each ide, and weigh 15 g. What i the cube denity? Enter the anwer into Clicker in unit of g/c. ( pt.) Anwer: 5 Quetion 5. I the cube in the above quetion ade of gold? Enter Y for ye or N for no into your Clicker. ( pt.) Anwer: N Quetion 6. The hip on the iage to the right weigh ton (1 ton = 1000 kg). Auing the denity of the eawater i ~1.04 g/c, what i the aount of water diplaced by thi hip in? Enter your anwer into your Clicker. ( pt.) Anwer: 644 Section. Plot and Excel. Pleae See the File : Graph-key.xl (10 point for correct printed graph) Quetion 7. Uing your trend-line, predict what CO concentration will be in 00. Enter the nuber (in pp) into your clicker. (5 pt.) Anwer: 40.9 pp. Section 4. Trigonoetry. For quetion 8-1, chooe the atheatical expreion that correctly define the trigonoetric function uing the ide of the right-angle triangle hown in Figure 1. Enter the correponding letter (A through G in the lit below) to Clicker. (1 pt. each)

4 A. C/A B. A/B C. A + B D. C/B E. B/C F. A/C G. B/A Figure 1. Quetion 8. Sine(ϕ) = ide oppoite/hypotenue = B/C E Quetion 9. Coine(ϕ) = ide adjacent/hypotenue = A/C F Quetion 0. Tangent(ϕ) = ide oppoite/ide adjacent = B/A G Quetion 1. Side C expreed in ter of A and B: C = A + B C Quetion. Calculate the ine of 1.7. Enter the anwer into CLICKER to the 4 th digit after the decial point. (1 pt.) Anwer: ~ 0.68 Quetion. Calculate the coine of π/ rad. Enter the anwer into CLICKER to the 4 th digit after the decial point. (1 pt.) Anwer: < Quetion 4. Enter into CLICKER the reult of the following reaction: CO + O _ CO To enter the anwer to CLICKER, ue a letter and nuber, e.g. enter N a N. ( pt.) 4

5 Quetion 5. Balance the following equation (Ethylene cobution): NH + O 1 N O+ H O. (firt coefficient) (econd coefficient) (third coefficient) (fourth coefficient) Enter the coefficient of thi equation into CLICKER a one nuber, e.g. if the coefficient (fro firt to fourth) are, 4, 5, then enter 45 a your anwer. (5 pt will be in Clicker.) 1 Section 6. Tie-Ditance-Velocity For quetion 6-, olve the following tie-ditance-velocity proble. Two railroad tation are 80 k apart. The firt train leave tation A at a peed of 80 k/h, bound for tation B. At the ae tie another train leave Station A at a peed of 64 k/h, bound for tation B. Quetion 6. What i the tie delay between the arrival of firt and econd train to the tation B? Enter the anwer (in hour) into Clicker (4 pt.) v 1, t 1 = velocity and tie for train 1; v, t = velocity and tie for train d t 1 = = 80/80 = 4.75 hour v 1 d t = = 80/64 = 5.94 hour v Δt = =1.19 hour Quetion 7. How far will the train be fro tation A when the delay between train i 1 hour? Enter the anwer (in k) into Clicker. (4 pt.) d d d d t - t 1 =1 hour, d=unknown ditance. t 1 = ; t =, then - =1 v 1 v v v1 dv 1 /v 1 v - dv /v 1 v =1 ; dv 1 - dv =1* v 1 v ; d(v 1- v )= 1*v 1 v ; finally d= v 1 v /(v 1- v )=80*64/(80-64) = 0 k 5

6 Section 7. Significant Digit Quetion 8: 6, rounded to the nearet hundredth i: 6,48.76 Quetion 9: rounded to the nearet tenth i: 0.9 Quetion 40: 87, rounded to the nearet tenth i: 87,456. Section 8. Scientific notation Quetion 41. write in noralized cientific E-notation 5.67E5 Quetion 4. write in noralized cientific E-notation 6.9E8 Quetion 4. expre a a tandard decial uber Quetion 44. expre a a tandard decial nuber The following proble are non-clicker proble: Proble 1. Preure i defined a force per unit area. Newton Second Law tell u that force i a ultiplied by acceleration, while acceleration i the firt tie derivative of velocity (or the econd tie derivative of ditance). Therefore the unit of acceleration are /. A unit of force ha the dienion of kg /, and a unit of preure ha the dienion of kg / or kg/. The baic unit of preure i Pacal (Pa, 1Pa = 1 kg/ ). Atopheric preure i norally recorded in hecto-pacal (hpa). 1 hpa = 100 Pa. Now the proble: the ga contant for dry air i 87 / K (here K tand for degree Kelvin, and K = Celiu + 7). Auing the teperature i 0 K and the preure i 1050 hpa, what i the atopheric denity? (Hint: write down all variable you are given, together with their unit. Figure out how to cobine the to get the denity. Show all your unit converion.) (10 pt.) 6

7 Given inforation: 1Pa = 1 kg -1 ; T = 0 K; P = 1050 hpa; R d = 87 - K -1 kg Cobine unit for T, P and R d in order to obtain. denity = Proble. On Mar the average atopheric preure at the urface i 6.6 hpa. If we aue that the radiu of Mar i 96. k and the acceleration of gravity i 5 /, what i the a of the Marian atophere? (Hint: you will need to ue the urface area of Mar, not jut the radiu) (10 pt.) kg Cobine unit of P (preue in Pacal, ), g, and the urface area of the Mar ( ) to obtain kg. P SA g = kg = kg ; where SA = 4πr e = 4π(96. *1000 ) a = 6. 6hPa 100 hpa 1 hpa π(96. k ) /5 = = 1.84x10 16 kg k 7

8 Proble. One Watt i equal to 1 Joule per econd (1W = 1 J/), while 1 Joule = 1 Newton eter (1 J = 1 N ), and 1 N = 1 Kg /. (i) What are the unit of a Watt? Siplify. [ point] Anwer: 1W J = 1 kg N kg = 1 J N (ii) Aue variable W ha unit of Watt, Variable K ha unit of kg/, variable D i ditance () and Variable T i tie (). You need to calculate velocity V. Write an expreion for V in ter of W, K, D and T [ point]. kg W T Anwer: = V kg D K ( ) ( ) ( ) ( ) D Give half credit for V =. T WD = WT/DK ; another poible olution i KT 8